Pulsating Fronts in a 2D Reactive Boussinesq System

Christopher Henderson

doi:10.1080/03605302.2013.850726

Pulsating Fronts in a 2D Reactive Boussinesq System

Christopher Henderson

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.

Original language	English (US)
Pages (from-to)	1555-1595
Number of pages	41
Journal	Communications in Partial Differential Equations
Volume	39
Issue number	8
DOIs	https://doi.org/10.1080/03605302.2013.850726
State	Published - Aug 2014
Externally published	Yes

Keywords

Front propagation
Pulsating fronts
Reaction-advection-diffusion equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1080/03605302.2013.850726

Cite this

@article{6648ccd621834a8e9b203086ab536a3a,

title = "Pulsating Fronts in a 2D Reactive Boussinesq System",

abstract = "We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.",

keywords = "Front propagation, Pulsating fronts, Reaction-advection-diffusion equations",

author = "Christopher Henderson",

year = "2014",

month = aug,

doi = "10.1080/03605302.2013.850726",

language = "English (US)",

volume = "39",

pages = "1555--1595",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

publisher = "Taylor and Francis Ltd.",

number = "8",

}

TY - JOUR

T1 - Pulsating Fronts in a 2D Reactive Boussinesq System

AU - Henderson, Christopher

PY - 2014/8

Y1 - 2014/8

N2 - We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.

AB - We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.

KW - Front propagation

KW - Pulsating fronts

KW - Reaction-advection-diffusion equations

UR - http://www.scopus.com/inward/record.url?scp=84903388790&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84903388790&partnerID=8YFLogxK

U2 - 10.1080/03605302.2013.850726

DO - 10.1080/03605302.2013.850726

M3 - Article

AN - SCOPUS:84903388790

SN - 0360-5302

VL - 39

SP - 1555

EP - 1595

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 8

ER -

Pulsating Fronts in a 2D Reactive Boussinesq System

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this